Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25×C8 |
| direct product | D9×#1712 |
| Fitting | C9×#1712 ⋊ C2 |
| Sylow | C9 ⋊ C2×#1712 |
2013 conjugacy classes of subgroups; only the 287 normal subgroups are shown.
This group has 2013 conjugacy classes of subgroups — too many to draw. Only its 287 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 576 |
228 conjugacy classes — view the full character table.
| maximal subgroup of | D9×#19745, AGL(1,ℤ/9)×#1712 |
| maximal normal subgroup of | D9×#19745, AGL(1,ℤ/9)×#1712 |
Past the SmallGroups library coverage — no SmallGroups id.